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Simplifying -3x2 + 10x + -9 = -2x2 + 6x + -5 Reorder the terms: -9 + 10x + -3x2 = -2x2 + 6x + -5 Reorder the terms: -9 + 10x + -3x2 = -5 + 6x + -2x2 Solving -9 + 10x + -3x2 = -5 + 6x + -2x2 Solving for variable 'x'. Reorder the terms: -9 + 5 + 10x + -6x + -3x2 + 2x2 = -5 + 6x + -2x2 + 5 + -6x + 2x2 Combine like terms: -9 + 5 = -4 -4 + 10x + -6x + -3x2 + 2x2 = -5 + 6x + -2x2 + 5 + -6x + 2x2 Combine like terms: 10x + -6x = 4x -4 + 4x + -3x2 + 2x2 = -5 + 6x + -2x2 + 5 + -6x + 2x2 Combine like terms: -3x2 + 2x2 = -1x2 -4 + 4x + -1x2 = -5 + 6x + -2x2 + 5 + -6x + 2x2 Reorder the terms: -4 + 4x + -1x2 = -5 + 5 + 6x + -6x + -2x2 + 2x2 Combine like terms: -5 + 5 = 0 -4 + 4x + -1x2 = 0 + 6x + -6x + -2x2 + 2x2 -4 + 4x + -1x2 = 6x + -6x + -2x2 + 2x2 Combine like terms: 6x + -6x = 0 -4 + 4x + -1x2 = 0 + -2x2 + 2x2 -4 + 4x + -1x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -4 + 4x + -1x2 = 0 Factor a trinomial. (-2 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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